It appears that this error is related to Fedora's SELinux. The workaround solution I found is to install OpenMx without testing whether it can be loaded.
R CMD INSTALL --no-test-load OpenMx_0.9.1-1421.tar.gz

Then I used the following command with the root account:
chcon -t textrel_shlib_t '/usr/lib/R/library/OpenMx/libs/OpenMx.so'